Find Least Common Multiple of 4424 and 864 using prime factorisation method.
Answer
LCM( 4424, 864 ) = 477792
Explanation
Step 1: Write down factorisation of each number:
4424 = 2 · 2 · 2 · 7 · 79
864 = 2 · 2 · 2 · 2 · 2 · 3 · 3 · 3
Step 2 : Match primes vertically:
| 4424 | = | 2 | · | 2 | · | 2 | · | 7 | · | 79 | ||||||||||
| 864 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 3 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 4424 | = | 2 | · | 2 | · | 2 | · | 7 | · | 79 | ||||||||||||
| 864 | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 3 | ||||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 2 | · | 3 | · | 3 | · | 3 | · | 7 | · | 79 | = | 477792 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
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